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MATH 2210Q – Linear Algebra – Spring 2016

This page contains specific information for Section 006 and 010 of MATH 2210Q – Linear Algebra. Below you can find the formal course description, information about the instructor, enrollment, the book, homework and quizzes, exams, and policies.

Course Description: MATH 2210Q, Linear Algebra

Description: Systems of equations, matrices, determinants, linear transformations on vector spaces, characteristic values and vectors, from a computational point of view. The course is an introduction to the techniques of linear algebra with elementary applications.

Prerequisites: MATH 1132, 1152, or 2142. Recommended Preparation: a grade of C- or better in MATH 1132. Not open for credit to students who have passed MATH 3210

About the Book and Other Resources:

Homework, Quizzes:

Homework will be assigned and collected every week. Homework will be graded for completion. There will be in-class quizzes every other week, and the problems in the quizzes will be heavily based on the homework problems.

Exams and Class Grade:

There will be two in-class midterms and a final exam. Each midterm will cover about 6 weeks of material, while the final will be cumulative. The total grade will be computed as follows:

Homework

100

Quizzes

50

Exam 1: (Week 6 – Friday, February 26th)

In class

100

Exam 2: (Week 12 – Friday, April 8th)

In class

125

Final Exam:

TBA

175

TOTAL

550

Course Outline:

Week

Topics

Exercises

1

1.1 Systems of Linear Equations.

pages 10-11, #1,8,13,14,17,20

1.2 Row Reduction and Echelon Forms.

pages 21-23, #1,3,7,12,14,20

2

1.3 Vector Equations.

pages 32-34, #1,3,6,9,13,14,15,21

1.4 The Matrix Equation Ax=b.

pages 40-42: #1,4,7,9,13,19,22

1.5 Solutions Sets of Linear Systems.

pages 47-49: #2,5,11

3

1.7 Linear Independence.

pages 60-62, #1,5,8,9,15,20,22

1.8 Matrix Operations.

pages 68-70, #1,8,9,13

1.9 The Matrix of a Linear Transformation.

pages 78-79, #1,2,15,20

4

2.1 Matrix Operations

pages 100-102: #2,5,7,10

2.2 Inverse of a Matrix

pages 109-111: #3,6,29,31,32,33

2.3 Characterizations of Invertible matrices

5

2.5 Matrix Factorizations

3.1 Introduction to Determinants

pages 167-169: #4,11,15,16,37

3.2 Properties of Determinants

pages 175-176: #4,7,8,21,22

6

Review and Exam I

7

4.1 Vector Spaces and Subspaces

pages 195-198: #1,6,7,8,9,11

4.2 Null Spaces, Columns Spaces, and Linear Transformations

pages 205-207: #3,11,12,14,17,21,23

4.3 Linearly Independent Sets; Bases

pages 213-215: #3, 4, 9, 13, 15, 16, 19, 23

8

4.4 Coordinate Systems

pages 222-224: # 1, 3, 5, 6, 9, 10, 13, 14

4.5 Dimension of a Vector Space

pages 229-231: #1, 4, 9, 11, 17, 18

4.6 Rank

pages 236-238: #1, 2, 5, 6

9

SPRING BREAK

10

4.7 Change of Basis

5.1 Eigenvalues and Eigenvectors

pages 271-273: # 2, 4, 13, 15, 16, 17

5.2 The Characteristic Equation

pages 279-281: # 2, 4, 9, 10, 12

11

5.3 Diagonalization

pages 286-287: # 7, 8, 9, 11

5.4 Eigenvectors and Linear Transformations

12

Review and Exam II

13

6.1 Inner Product, Length and Orthogonality

pages 336-338: #5, 10, 15, 17

6.2 Orthogonal Sets

pages 344-346: #1, 2, 9, 11, 14

14

6.3 Orthogonal Projections

pages 352-353: #3, 4, 11, 12, 13

6.4 Gram-Schmidt Process

pages 358-359: #5, 6, 9, 10

6.5 Least Squares Problems

pages 366-367: #5, 10, 12, 13, 14

15

Other Topics/Review

Final Exam

Policy Statements:

Policy Against Discrimination, Harassment and Inappropriate Romantic Relationships — The University is committed to maintaining an environment free of discrimination or discriminatory harassment directed toward any person or group within its community – students, employees, or visitors. Academic and professional excellence can flourish only when each member of our community is assured an atmosphere of mutual respect. All members of the University community are responsible for the maintenance of an academic and work environment in which people are free to learn and work without fear of discrimination or discriminatory harassment. In addition, inappropriate Romantic relationships can undermine the University’s mission when those in positions of authority abuse or appear to abuse their authority. To that end, and in accordance with federal and state law, the University prohibits discrimination and discriminatory harassment, as well as inappropriate Romantic relationships, and such behavior will be met with appropriate disciplinary action, up to and including dismissal from the University. (More information is available at http://policy.uconn.edu/?p=2884.)

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Attendance — Your instructor expects you to attend class regularly. Besides being nearly essential for developing your understanding of the material, your regular attendance in class is good for the morale of the class and is indicative of your interest in the subject and your engagement in the course. You are responsible for the material discussed in class and in the assigned reading in the text.

Academic Integrity Statement — This course expects all students to act in accordance with the Guidelines for Academic Integrity at the University of Connecticut. Because questions of intellectual property are important to the field of this course, we will discuss academic honesty as a topic and not just a policy. If you have questions about academic integrity or intellectual property, you should consult with your instructor. Additionally, consult UConn’s guidelines for academic integrity.

Students with Disabilities — The Center for Students with Disabilities(CSD) at UConn provides accommodations and services for qualified students with disabilities. If you have a documented disability for which you wish to request academic accommodations and have not contacted the CSD, please do so as soon as possible. The CSD is located in Wilbur Cross, Room 204 and can be reached at (860) 486-2020 or at csd@uconn.edu. Detailed information regarding the accommodations process is also available on their website at www.csd.uconn.edu.

Final Exam Policy — In accordance with UConn policy, students are required to be available for their final exam and/or complete any assessment during the time stated. If you have a conflict with this time you must obtain official permission to schedule a make-up exam with the Office of Student Support and Advocacy (OSSA). If permission is granted, OSSA will notify the instructor. Please note that vacations, previously purchased tickets or reservations, graduations, social events, misreading the assessment schedule, and oversleeping are not viable reasons for rescheduling a final.